A certain rope has a length of 8 m and a mass of 2.4 kg. It is

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A certain rope has a length of 8 m and a mass of 2.4 kg. It is fixed at one end and held taut at the other with a tension of 30 N. The end of the rope is moved up and down with a frequency of 2.5 Hz.
a. What is the mass per unit of length of the rope?
b. What is the speed of waves on this rope?
c. What is the wavelength of waves on this rope having a frequency of 2.5 Hz?
d. How many complete cycles of these waves will fit on the rope?
e. How long does it take for the leading edge of the waves to reach the other end of the rope and start coming back?

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